Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 3.6s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (30.5%)

Results
630.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 375.0ms
ival-mult: 300.0ms (80% of total)
ival-sub: 61.0ms (16.3% of total)
const: 11.0ms (2.9% of total)
backward-pass: 2.0ms (0.5% of total)
Bogosity

preprocess94.0ms (2.6%)

Algorithm
egg-herbie
Rules
425×fma-define
210×fma-neg
96×distribute-lft-neg-in
94×associate-*r*
94×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038435
1116375
2284375
3713375
41184375
51616375
61710375
71718375
81718375
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(neg.f64 (fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(-.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) (*.f64 x x))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))))))
(neg.f64 (fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 x x))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))))))
(neg.f64 (fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 x x))
(-.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 (*.f64 y y) (*.f64 z (*.f64 x #s(literal 4 binary64))))
(fma.f64 y y (*.f64 x (*.f64 z #s(literal -4 binary64))))
(fma.f64 x (*.f64 z #s(literal -4 binary64)) (*.f64 y y))
(-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 (*.f64 z z) (*.f64 y (*.f64 x #s(literal 4 binary64))))
(fma.f64 z z (*.f64 x (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 x #s(literal -4 binary64)) (*.f64 z z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
Symmetry

(abs x)

(sort y z)

explain121.0ms (3.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
40-0-(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-x
00-0-(*.f64 x x)
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-#s(literal 4 binary64)
00-0-z
00-0-(*.f64 y #s(literal 4 binary64))
00-0-y
Results
40.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 13.0ms (78.3% of total)
ival-sub: 2.0ms (12% of total)
const: 1.0ms (6% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 20 to 12 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
98.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify41.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z #s(literal -4 binary64))
cost-diff0
(*.f64 y (*.f64 z #s(literal -4 binary64)))
cost-diff0
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
cost-diff-6272
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
cost-diff0
(*.f64 y #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
cost-diff0
(*.f64 x x)
Rules
336×fma-define
126×fma-neg
48×distribute-lft-neg-in
46×cancel-sign-sub-inv
28×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019171
135163
267163
3117163
4171163
5241163
6348163
7450163
8592163
9840163
10930163
11942163
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
x
(*.f64 y (*.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
x
(*.f64 y (*.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)

localize168.0ms (4.7%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z #s(literal -4 binary64))
accuracy100.0%
(*.f64 y (*.f64 z #s(literal -4 binary64)))
accuracy99.2%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
accuracy100.0%
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
accuracy100.0%
(*.f64 y #s(literal 4 binary64))
accuracy100.0%
(*.f64 x x)
accuracy98.6%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
31.0ms256×0valid
Compiler

Compiled 48 to 13 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (66.7% of total)
ival-fma: 3.0ms (22.2% of total)
ival-sub: 1.0ms (7.4% of total)
const: 1.0ms (7.4% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.5%)

Counts
7 → 156
Calls
Call 1
Inputs
#<alt (*.f64 x x)>
#<alt (*.f64 (*.f64 y #s(literal 4 binary64)) z)>
#<alt (*.f64 y #s(literal 4 binary64))>
#<alt (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))>
#<alt (fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))>
#<alt (*.f64 y (*.f64 z #s(literal -4 binary64)))>
#<alt (*.f64 z #s(literal -4 binary64))>
Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
Calls

39 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(* y 4)
1.0ms
y
@inf
(* (* y 4) z)
1.0ms
y
@0
(* (* y 4) z)
1.0ms
z
@inf
(* (* y 4) z)
1.0ms
z
@0
(* (* y 4) z)

rewrite306.0ms (8.5%)

Algorithm
batch-egg-rewrite
Rules
996×log1p-expm1-u
996×expm1-log1p-u
585×log-prod
422×fma-define
180×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019136
1235134
23090128
Stop Event
node limit
Counts
7 → 311
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z #s(literal -4 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))) (-.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
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(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
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simplify321.0ms (8.9%)

Algorithm
egg-herbie
Rules
741×times-frac
568×fma-neg
253×distribute-lft-neg-in
216×distribute-rgt-neg-in
178×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052015490
1109015240
2332914628
Stop Event
node limit
Counts
467 → 308
Calls
Call 1
Inputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
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(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
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(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(exp.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
Outputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
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(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
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(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z))) (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(exp.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -4 binary64)))
(*.f64 z #s(literal -4 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(*.f64 z #s(literal -4 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 4 binary64) z))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(*.f64 z #s(literal -4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(*.f64 z #s(literal -4 binary64))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(*.f64 z #s(literal -4 binary64))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(*.f64 z #s(literal -4 binary64))

eval42.0ms (1.1%)

Compiler

Compiled 5686 to 769 computations (86.5% saved)

prune85.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3062308
Fresh000
Picked022
Done000
Total3064310
Accuracy
100.0%
Counts
310 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
98.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
46.5%
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
56.7%
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify35.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
cost-diff0
(*.f64 z #s(literal -4 binary64))
cost-diff0
(*.f64 y (*.f64 z #s(literal -4 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Rules
315×fma-define
126×fma-neg
49×distribute-lft-neg-in
46×cancel-sign-sub-inv
28×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016133
130129
265129
3111129
4158129
5222129
6334129
7441129
8589129
9807129
10897129
11909129
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
#s(literal -4 binary64)
(*.f64 y z)
y
z
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(*.f64 x x)
x
(*.f64 y (*.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
#s(literal -4 binary64)
(*.f64 y z)
y
z
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 x x (*.f64 (*.f64 y z) #s(literal 4 binary64)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal 4 binary64))))
(fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
y
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) z)
z
#s(literal -4 binary64)

localize97.0ms (2.7%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z #s(literal -4 binary64))
accuracy100.0%
(*.f64 y (*.f64 z #s(literal -4 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy98.0%
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Results
28.0ms256×0valid
Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 9.0ms (84.6% of total)
ival-sub: 1.0ms (9.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))>
Outputs
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
Calls

21 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(* y z)
0.0ms
z
@-inf
(* y z)
0.0ms
x
@inf
(- (* x x) (* y (* z -4)))
0.0ms
x
@0
(- (* x x) (* y (* z -4)))
0.0ms
z
@-inf
(- (* x x) (* y (* z -4)))

rewrite188.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
906×log1p-expm1-u
906×expm1-log1p-u
533×log-prod
424×fma-define
162×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01666
121465
2257662
Stop Event
node limit
Counts
3 → 201
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y z)
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) (cbrt.f64 (pow.f64 (exp.f64 y) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (*.f64 y (*.f64 z #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 z #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (*.f64 y (*.f64 z #s(literal 4 binary64))))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 z #s(literal 4 binary64)))))
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(pow.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
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(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) (neg.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (neg.f64 (-.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (*.f64 y z)) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (sqrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64)) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))

simplify140.0ms (3.9%)

Algorithm
egg-herbie
Rules
569×times-frac
512×distribute-lft-in
462×distribute-rgt-in
460×fma-neg
424×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03999227
18568946
225138754
Stop Event
node limit
Counts
237 → 245
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))
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(fma.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (sqrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64)) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
Outputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 z (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 z (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 z (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 z (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 z (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 z (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 x (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 x (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 x (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 x (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 x (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 x (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 x (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 x (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 x (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 x (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 x (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 x (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
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(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64)) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))

eval37.0ms (1%)

Compiler

Compiled 5597 to 714 computations (87.2% saved)

prune124.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3061307
Fresh000
Picked112
Done022
Total3074311
Accuracy
100.0%
Counts
311 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
98.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
5.3%
(*.f64 #s(literal 4 binary64) (*.f64 y z))
56.7%
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 #s(literal 4 binary64) (*.f64 y z))
Rules
*-commutative
associate-*r*
associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
11441
22141
32341
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
#s(literal 4 binary64)
(*.f64 y z)
y
z
Outputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
#s(literal 4 binary64)
(*.f64 y z)
y
z

localize26.0ms (0.7%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 #s(literal 4 binary64) (*.f64 y z))
Results
14.0ms256×0valid
Compiler

Compiled 15 to 7 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 4.0ms (92.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 0
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
Outputs
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(* 4 (* y z))
0.0ms
y
@inf
(* 4 (* y z))
0.0ms
y
@-inf
(* 4 (* y z))
0.0ms
z
@-inf
(* 4 (* y z))
0.0ms
z
@inf
(* 4 (* y z))

rewrite65.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
404×unpow-prod-down
361×log1p-expm1-u
361×expm1-log1p-u
347×add-exp-log
335×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
18819
2100819
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))) #s(literal 2 binary64)))

simplify81.0ms (2.2%)

Algorithm
egg-herbie
Rules
1032×fma-define
538×fma-neg
406×associate-+r-
270×*-commutative
266×prod-exp
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
071559
1121559
2304559
31333559
42933559
54973555
Stop Event
node limit
Counts
21 → 27
Calls
Call 1
Inputs
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))) #s(literal 2 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal 4 binary64))))) #s(literal 2 binary64))
(*.f64 (log.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) z))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal 4 binary64)))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64)))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(exp.f64 (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) #s(literal 3 binary64)))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) #s(literal 1/3 binary64)))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 y (*.f64 z #s(literal 4 binary64)))

eval6.0ms (0.2%)

Compiler

Compiled 453 to 137 computations (69.8% saved)

prune11.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New47047
Fresh000
Picked011
Done033
Total47451
Accuracy
100.0%
Counts
51 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
98.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
5.3%
(*.f64 #s(literal 4 binary64) (*.f64 y z))
56.7%
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Compiler

Compiled 78 to 43 computations (44.9% saved)

regimes19.0ms (0.5%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
Outputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
Calls

7 calls:

3.0ms
y
3.0ms
x
3.0ms
z
3.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
(*.f64 y #s(literal 4 binary64))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
99.2%1(*.f64 x x)
99.2%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
99.2%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes16.0ms (0.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Calls

7 calls:

3.0ms
z
3.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
98.4%1x
98.4%1y
98.4%1z
98.4%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
98.4%1(*.f64 x x)
98.4%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
98.4%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes8.0ms (0.2%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
Calls

4 calls:

2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
83.1%2x
64.7%3y
68.3%3z
83.1%2(*.f64 x x)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.4%)

Accuracy

Total -33.8b remaining (-121.9%)

Threshold costs -33.8b (-121.9%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Calls

3 calls:

13.0ms
z
2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
56.7%1y
56.7%1z
56.7%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch8.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
3.054107623012142e+78
6.95536483425524e+78
Results
5.0ms80×0valid
Compiler

Compiled 118 to 88 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (47.1% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Rules
14×*-commutative
10×sub-neg
10×+-commutative
distribute-lft-neg-in
distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028166
145166
272166
391166
4103166
5108166
6109166
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(if (<=.f64 (*.f64 x x) #s(literal 3650000000000000020717314749709878099474817833802035591874647564655334560628736 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Outputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y #s(literal 4 binary64))))
(if (<=.f64 (*.f64 x x) #s(literal 3650000000000000020717314749709878099474817833802035591874647564655334560628736 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))

soundness386.0ms (10.7%)

Rules
741×times-frac
568×fma-neg
425×fma-define
253×distribute-lft-neg-in
216×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052015490
1109015240
2332914628
038435
1116375
2284375
3713375
41184375
51616375
61710375
71718375
81718375
Stop Event
done
saturated
node limit
Compiler

Compiled 300 to 98 computations (67.3% saved)

preprocess38.0ms (1%)

Remove

(sort y z)

(abs x)

Compiler

Compiled 290 to 164 computations (43.4% saved)

end0.0ms (0%)

Profiling

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